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Finding the Fourth Proportional to 11,710.52, 16,160.40 and 6,405.44

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Solution

The fourth proportional to 11,710.52, 16,160.40 and 6,405.44 is: 8,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.52 : 16,160.40 = 6,405.44 : x
  2. Step 2: Convert to fraction form
    11,710.52/16,160.40 = 6,405.44/x
  3. Step 3: Cross multiply
    11,710.52x = 16,160.40 × 6,405.44
  4. Step 4: Simplify right side
    11,710.52x = 103,514,472.58
  5. Step 5: Solve for x
    x = 103,514,472.58/11,710.52
  6. Step 6: Final answer
    x = 8,839.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.